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Finding the Fourth Proportional to 3,430.32, 4,733.84 and 1,858.40

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Solution

The fourth proportional to 3,430.32, 4,733.84 and 1,858.40 is: 2,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.32 : 4,733.84 = 1,858.40 : x
  2. Step 2: Convert to fraction form
    3,430.32/4,733.84 = 1,858.40/x
  3. Step 3: Cross multiply
    3,430.32x = 4,733.84 × 1,858.40
  4. Step 4: Simplify right side
    3,430.32x = 8,797,368.26
  5. Step 5: Solve for x
    x = 8,797,368.26/3,430.32
  6. Step 6: Final answer
    x = 2,564.59

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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.