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Finding the Fourth Proportional to 4,547.84, 6,276.04 and 2,558.40

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Solution

The fourth proportional to 4,547.84, 6,276.04 and 2,558.40 is: 3,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.84 : 6,276.04 = 2,558.40 : x
  2. Step 2: Convert to fraction form
    4,547.84/6,276.04 = 2,558.40/x
  3. Step 3: Cross multiply
    4,547.84x = 6,276.04 × 2,558.40
  4. Step 4: Simplify right side
    4,547.84x = 16,056,620.74
  5. Step 5: Solve for x
    x = 16,056,620.74/4,547.84
  6. Step 6: Final answer
    x = 3,530.60

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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.