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Finding the Fourth Proportional to 4,703.64, 6,491.10 and 2,607.78

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Solution

The fourth proportional to 4,703.64, 6,491.10 and 2,607.78 is: 3,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.64 : 6,491.10 = 2,607.78 : x
  2. Step 2: Convert to fraction form
    4,703.64/6,491.10 = 2,607.78/x
  3. Step 3: Cross multiply
    4,703.64x = 6,491.10 × 2,607.78
  4. Step 4: Simplify right side
    4,703.64x = 16,927,360.76
  5. Step 5: Solve for x
    x = 16,927,360.76/4,703.64
  6. Step 6: Final answer
    x = 3,598.78

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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.