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Finding the Fourth Proportional to 4,574.51, 6,312.84 and 2,478.63

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Solution

The fourth proportional to 4,574.51, 6,312.84 and 2,478.63 is: 3,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.51 : 6,312.84 = 2,478.63 : x
  2. Step 2: Convert to fraction form
    4,574.51/6,312.84 = 2,478.63/x
  3. Step 3: Cross multiply
    4,574.51x = 6,312.84 × 2,478.63
  4. Step 4: Simplify right side
    4,574.51x = 15,647,194.61
  5. Step 5: Solve for x
    x = 15,647,194.61/4,574.51
  6. Step 6: Final answer
    x = 3,420.52

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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.