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Finding the Fourth Proportional to 4,699.02, 6,503.31 and 4,038.06

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Solution

The fourth proportional to 4,699.02, 6,503.31 and 4,038.06 is: 5,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.02 : 6,503.31 = 4,038.06 : x
  2. Step 2: Convert to fraction form
    4,699.02/6,503.31 = 4,038.06/x
  3. Step 3: Cross multiply
    4,699.02x = 6,503.31 × 4,038.06
  4. Step 4: Simplify right side
    4,699.02x = 26,260,755.98
  5. Step 5: Solve for x
    x = 26,260,755.98/4,699.02
  6. Step 6: Final answer
    x = 5,588.56

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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.