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Finding the Fourth Proportional to 5,632.34, 7,770.04 and 3,643.53

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Solution

The fourth proportional to 5,632.34, 7,770.04 and 3,643.53 is: 5,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.34 : 7,770.04 = 3,643.53 : x
  2. Step 2: Convert to fraction form
    5,632.34/7,770.04 = 3,643.53/x
  3. Step 3: Cross multiply
    5,632.34x = 7,770.04 × 3,643.53
  4. Step 4: Simplify right side
    5,632.34x = 28,310,384.42
  5. Step 5: Solve for x
    x = 28,310,384.42/5,632.34
  6. Step 6: Final answer
    x = 5,026.40

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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.