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Finding the Fourth Proportional to 5,810.36, 8,703.10 and 5,405.76

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Solution

The fourth proportional to 5,810.36, 8,703.10 and 5,405.76 is: 8,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.36 : 8,703.10 = 5,405.76 : x
  2. Step 2: Convert to fraction form
    5,810.36/8,703.10 = 5,405.76/x
  3. Step 3: Cross multiply
    5,810.36x = 8,703.10 × 5,405.76
  4. Step 4: Simplify right side
    5,810.36x = 47,046,869.86
  5. Step 5: Solve for x
    x = 47,046,869.86/5,810.36
  6. Step 6: Final answer
    x = 8,097.07

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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.