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Finding the Fourth Proportional to 4,574.17, 6,307.35 and 2,977.88

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Solution

The fourth proportional to 4,574.17, 6,307.35 and 2,977.88 is: 4,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.17 : 6,307.35 = 2,977.88 : x
  2. Step 2: Convert to fraction form
    4,574.17/6,307.35 = 2,977.88/x
  3. Step 3: Cross multiply
    4,574.17x = 6,307.35 × 2,977.88
  4. Step 4: Simplify right side
    4,574.17x = 18,782,484.99
  5. Step 5: Solve for x
    x = 18,782,484.99/4,574.17
  6. Step 6: Final answer
    x = 4,106.21

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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.