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Finding the Fourth Proportional to 6,588.86, 9,077.01 and 4,595.90

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Solution

The fourth proportional to 6,588.86, 9,077.01 and 4,595.90 is: 6,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.86 : 9,077.01 = 4,595.90 : x
  2. Step 2: Convert to fraction form
    6,588.86/9,077.01 = 4,595.90/x
  3. Step 3: Cross multiply
    6,588.86x = 9,077.01 × 4,595.90
  4. Step 4: Simplify right side
    6,588.86x = 41,717,030.26
  5. Step 5: Solve for x
    x = 41,717,030.26/6,588.86
  6. Step 6: Final answer
    x = 6,331.45

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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.