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Finding the Fourth Proportional to 4,534.95, 6,258.05 and 2,646.65

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Solution

The fourth proportional to 4,534.95, 6,258.05 and 2,646.65 is: 3,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.95 : 6,258.05 = 2,646.65 : x
  2. Step 2: Convert to fraction form
    4,534.95/6,258.05 = 2,646.65/x
  3. Step 3: Cross multiply
    4,534.95x = 6,258.05 × 2,646.65
  4. Step 4: Simplify right side
    4,534.95x = 16,562,823.51
  5. Step 5: Solve for x
    x = 16,562,823.51/4,534.95
  6. Step 6: Final answer
    x = 3,652.26

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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.