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Finding the Fourth Proportional to 4,547.94, 6,276.10 and 2,558.50

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Solution

The fourth proportional to 4,547.94, 6,276.10 and 2,558.50 is: 3,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.94 : 6,276.10 = 2,558.50 : x
  2. Step 2: Convert to fraction form
    4,547.94/6,276.10 = 2,558.50/x
  3. Step 3: Cross multiply
    4,547.94x = 6,276.10 × 2,558.50
  4. Step 4: Simplify right side
    4,547.94x = 16,057,401.85
  5. Step 5: Solve for x
    x = 16,057,401.85/4,547.94
  6. Step 6: Final answer
    x = 3,530.70

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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.