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Finding the Fourth Proportional to 5,298.54, 7,312.02 and 3,060.80

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Solution

The fourth proportional to 5,298.54, 7,312.02 and 3,060.80 is: 4,223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.54 : 7,312.02 = 3,060.80 : x
  2. Step 2: Convert to fraction form
    5,298.54/7,312.02 = 3,060.80/x
  3. Step 3: Cross multiply
    5,298.54x = 7,312.02 × 3,060.80
  4. Step 4: Simplify right side
    5,298.54x = 22,380,594.26
  5. Step 5: Solve for x
    x = 22,380,594.26/5,298.54
  6. Step 6: Final answer
    x = 4,223.92

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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.