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Finding the Fourth Proportional to 4,152.60, 5,723.64 and 3,647.16

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Solution

The fourth proportional to 4,152.60, 5,723.64 and 3,647.16 is: 5,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.60 : 5,723.64 = 3,647.16 : x
  2. Step 2: Convert to fraction form
    4,152.60/5,723.64 = 3,647.16/x
  3. Step 3: Cross multiply
    4,152.60x = 5,723.64 × 3,647.16
  4. Step 4: Simplify right side
    4,152.60x = 20,875,030.86
  5. Step 5: Solve for x
    x = 20,875,030.86/4,152.60
  6. Step 6: Final answer
    x = 5,026.98

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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.