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Finding the Fourth Proportional to 4,332.48, 6,500.64 and 2,280

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Solution

The fourth proportional to 4,332.48, 6,500.64 and 2,280 is: 3,421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.48 : 6,500.64 = 2,280 : x
  2. Step 2: Convert to fraction form
    4,332.48/6,500.64 = 2,280/x
  3. Step 3: Cross multiply
    4,332.48x = 6,500.64 × 2,280
  4. Step 4: Simplify right side
    4,332.48x = 14,821,459.20
  5. Step 5: Solve for x
    x = 14,821,459.20/4,332.48
  6. Step 6: Final answer
    x = 3,421.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.