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Finding the Fourth Proportional to 4,574.54, 6,856.65 and 1,800.70

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Solution

The fourth proportional to 4,574.54, 6,856.65 and 1,800.70 is: 2,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.54 : 6,856.65 = 1,800.70 : x
  2. Step 2: Convert to fraction form
    4,574.54/6,856.65 = 1,800.70/x
  3. Step 3: Cross multiply
    4,574.54x = 6,856.65 × 1,800.70
  4. Step 4: Simplify right side
    4,574.54x = 12,346,752.51
  5. Step 5: Solve for x
    x = 12,346,752.51/4,574.54
  6. Step 6: Final answer
    x = 2,699.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.