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Finding the Fourth Proportional to 4,707.08, 6,486.90 and 4,075.64

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Solution

The fourth proportional to 4,707.08, 6,486.90 and 4,075.64 is: 5,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.08 : 6,486.90 = 4,075.64 : x
  2. Step 2: Convert to fraction form
    4,707.08/6,486.90 = 4,075.64/x
  3. Step 3: Cross multiply
    4,707.08x = 6,486.90 × 4,075.64
  4. Step 4: Simplify right side
    4,707.08x = 26,438,269.12
  5. Step 5: Solve for x
    x = 26,438,269.12/4,707.08
  6. Step 6: Final answer
    x = 5,616.70

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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.