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Finding the Fourth Proportional to 5,253.40, 7,242.52 and 4,130

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Solution

The fourth proportional to 5,253.40, 7,242.52 and 4,130 is: 5,693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.40 : 7,242.52 = 4,130 : x
  2. Step 2: Convert to fraction form
    5,253.40/7,242.52 = 4,130/x
  3. Step 3: Cross multiply
    5,253.40x = 7,242.52 × 4,130
  4. Step 4: Simplify right side
    5,253.40x = 29,911,607.60
  5. Step 5: Solve for x
    x = 29,911,607.60/5,253.40
  6. Step 6: Final answer
    x = 5,693.76

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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.