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Finding the Fourth Proportional to 4,185.95, 5,776.54 and 2,417.51

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Solution

The fourth proportional to 4,185.95, 5,776.54 and 2,417.51 is: 3,336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.95 : 5,776.54 = 2,417.51 : x
  2. Step 2: Convert to fraction form
    4,185.95/5,776.54 = 2,417.51/x
  3. Step 3: Cross multiply
    4,185.95x = 5,776.54 × 2,417.51
  4. Step 4: Simplify right side
    4,185.95x = 13,964,851.61
  5. Step 5: Solve for x
    x = 13,964,851.61/4,185.95
  6. Step 6: Final answer
    x = 3,336.13

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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.