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Finding the Fourth Proportional to 5,130.86, 7,074.20 and 4,280.50

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Solution

The fourth proportional to 5,130.86, 7,074.20 and 4,280.50 is: 5,901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.86 : 7,074.20 = 4,280.50 : x
  2. Step 2: Convert to fraction form
    5,130.86/7,074.20 = 4,280.50/x
  3. Step 3: Cross multiply
    5,130.86x = 7,074.20 × 4,280.50
  4. Step 4: Simplify right side
    5,130.86x = 30,281,113.10
  5. Step 5: Solve for x
    x = 30,281,113.10/5,130.86
  6. Step 6: Final answer
    x = 5,901.76

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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.