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Finding the Fourth Proportional to 4,345.60, 6,523.20 and 2,401.60

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Solution

The fourth proportional to 4,345.60, 6,523.20 and 2,401.60 is: 3,605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.60 : 6,523.20 = 2,401.60 : x
  2. Step 2: Convert to fraction form
    4,345.60/6,523.20 = 2,401.60/x
  3. Step 3: Cross multiply
    4,345.60x = 6,523.20 × 2,401.60
  4. Step 4: Simplify right side
    4,345.60x = 15,666,117.12
  5. Step 5: Solve for x
    x = 15,666,117.12/4,345.60
  6. Step 6: Final answer
    x = 3,605.05

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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.