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Finding the Fourth Proportional to 5,670.63, 7,824.88 and 3,152.34

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Solution

The fourth proportional to 5,670.63, 7,824.88 and 3,152.34 is: 4,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.63 : 7,824.88 = 3,152.34 : x
  2. Step 2: Convert to fraction form
    5,670.63/7,824.88 = 3,152.34/x
  3. Step 3: Cross multiply
    5,670.63x = 7,824.88 × 3,152.34
  4. Step 4: Simplify right side
    5,670.63x = 24,666,682.22
  5. Step 5: Solve for x
    x = 24,666,682.22/5,670.63
  6. Step 6: Final answer
    x = 4,349.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.