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Finding the Fourth Proportional to 3,312.17, 4,967.19 and 972.35

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Solution

The fourth proportional to 3,312.17, 4,967.19 and 972.35 is: 1,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.17 : 4,967.19 = 972.35 : x
  2. Step 2: Convert to fraction form
    3,312.17/4,967.19 = 972.35/x
  3. Step 3: Cross multiply
    3,312.17x = 4,967.19 × 972.35
  4. Step 4: Simplify right side
    3,312.17x = 4,829,822.36
  5. Step 5: Solve for x
    x = 4,829,822.36/3,312.17
  6. Step 6: Final answer
    x = 1,458.21

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