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Finding the Fourth Proportional to 5,188.32, 7,810.16 and 4,652.50

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Solution

The fourth proportional to 5,188.32, 7,810.16 and 4,652.50 is: 7,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.32 : 7,810.16 = 4,652.50 : x
  2. Step 2: Convert to fraction form
    5,188.32/7,810.16 = 4,652.50/x
  3. Step 3: Cross multiply
    5,188.32x = 7,810.16 × 4,652.50
  4. Step 4: Simplify right side
    5,188.32x = 36,336,769.40
  5. Step 5: Solve for x
    x = 36,336,769.40/5,188.32
  6. Step 6: Final answer
    x = 7,003.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.