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Finding the Fourth Proportional to 5,294.95, 7,307.65 and 2,937.24

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Solution

The fourth proportional to 5,294.95, 7,307.65 and 2,937.24 is: 4,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.95 : 7,307.65 = 2,937.24 : x
  2. Step 2: Convert to fraction form
    5,294.95/7,307.65 = 2,937.24/x
  3. Step 3: Cross multiply
    5,294.95x = 7,307.65 × 2,937.24
  4. Step 4: Simplify right side
    5,294.95x = 21,464,325.56
  5. Step 5: Solve for x
    x = 21,464,325.56/5,294.95
  6. Step 6: Final answer
    x = 4,053.74

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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.