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Finding the Fourth Proportional to 5,298.48, 7,315.20 and 4,101.30

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Solution

The fourth proportional to 5,298.48, 7,315.20 and 4,101.30 is: 5,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.48 : 7,315.20 = 4,101.30 : x
  2. Step 2: Convert to fraction form
    5,298.48/7,315.20 = 4,101.30/x
  3. Step 3: Cross multiply
    5,298.48x = 7,315.20 × 4,101.30
  4. Step 4: Simplify right side
    5,298.48x = 30,001,829.76
  5. Step 5: Solve for x
    x = 30,001,829.76/5,298.48
  6. Step 6: Final answer
    x = 5,662.35

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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.