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Finding the Fourth Proportional to 5,454, 7,526.68 and 2,970.16

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Solution

The fourth proportional to 5,454, 7,526.68 and 2,970.16 is: 4,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454 : 7,526.68 = 2,970.16 : x
  2. Step 2: Convert to fraction form
    5,454/7,526.68 = 2,970.16/x
  3. Step 3: Cross multiply
    5,454x = 7,526.68 × 2,970.16
  4. Step 4: Simplify right side
    5,454x = 22,355,443.87
  5. Step 5: Solve for x
    x = 22,355,443.87/5,454
  6. Step 6: Final answer
    x = 4,098.91

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