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Finding the Fourth Proportional to 4,693.48, 6,477.06 and 2,597.80

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Solution

The fourth proportional to 4,693.48, 6,477.06 and 2,597.80 is: 3,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.48 : 6,477.06 = 2,597.80 : x
  2. Step 2: Convert to fraction form
    4,693.48/6,477.06 = 2,597.80/x
  3. Step 3: Cross multiply
    4,693.48x = 6,477.06 × 2,597.80
  4. Step 4: Simplify right side
    4,693.48x = 16,826,106.47
  5. Step 5: Solve for x
    x = 16,826,106.47/4,693.48
  6. Step 6: Final answer
    x = 3,585.00

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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.