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Finding the Fourth Proportional to 5,312.64, 7,970.88 and 3,597.44

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Solution

The fourth proportional to 5,312.64, 7,970.88 and 3,597.44 is: 5,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.64 : 7,970.88 = 3,597.44 : x
  2. Step 2: Convert to fraction form
    5,312.64/7,970.88 = 3,597.44/x
  3. Step 3: Cross multiply
    5,312.64x = 7,970.88 × 3,597.44
  4. Step 4: Simplify right side
    5,312.64x = 28,674,762.55
  5. Step 5: Solve for x
    x = 28,674,762.55/5,312.64
  6. Step 6: Final answer
    x = 5,397.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.