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Finding the Fourth Proportional to 4,335.04, 6,503.10 and 1,412.34

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Solution

The fourth proportional to 4,335.04, 6,503.10 and 1,412.34 is: 2,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.04 : 6,503.10 = 1,412.34 : x
  2. Step 2: Convert to fraction form
    4,335.04/6,503.10 = 1,412.34/x
  3. Step 3: Cross multiply
    4,335.04x = 6,503.10 × 1,412.34
  4. Step 4: Simplify right side
    4,335.04x = 9,184,588.25
  5. Step 5: Solve for x
    x = 9,184,588.25/4,335.04
  6. Step 6: Final answer
    x = 2,118.69

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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.