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Finding the Fourth Proportional to 5,298.13, 7,307.46 and 3,616.88

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Solution

The fourth proportional to 5,298.13, 7,307.46 and 3,616.88 is: 4,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.13 : 7,307.46 = 3,616.88 : x
  2. Step 2: Convert to fraction form
    5,298.13/7,307.46 = 3,616.88/x
  3. Step 3: Cross multiply
    5,298.13x = 7,307.46 × 3,616.88
  4. Step 4: Simplify right side
    5,298.13x = 26,430,169.39
  5. Step 5: Solve for x
    x = 26,430,169.39/5,298.13
  6. Step 6: Final answer
    x = 4,988.58

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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.