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Finding the Fourth Proportional to 5,294.90, 7,307.93 and 3,056.47

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Solution

The fourth proportional to 5,294.90, 7,307.93 and 3,056.47 is: 4,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.90 : 7,307.93 = 3,056.47 : x
  2. Step 2: Convert to fraction form
    5,294.90/7,307.93 = 3,056.47/x
  3. Step 3: Cross multiply
    5,294.90x = 7,307.93 × 3,056.47
  4. Step 4: Simplify right side
    5,294.90x = 22,336,468.81
  5. Step 5: Solve for x
    x = 22,336,468.81/5,294.90
  6. Step 6: Final answer
    x = 4,218.49

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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.